Nonlinear instability of Hele-Shaw flows with smooth viscous profiles
SCIE
SCOPUS
- Title
- Nonlinear instability of Hele-Shaw flows with smooth viscous profiles
- Authors
- Daripa, P; Hwang, HJ
- Date Issued
- 2008-10-01
- Publisher
- ACADEMIC PRESS INC ELSEVIER SCIENCE
- Abstract
- We rigorously derive nonlinear instability of Hele-Shaw flows moving with a constant velocity in the presence of smooth viscosity profiles where the viscosity upstream is lower than the viscosity downstream. This is a single-layer problem without any material interface. The instability of the basic flow is driven by a viscosity gradient as opposed to conventional interfacial Saffman-Taylor instability where the instability is driven by a viscosity jump across the interface. Existing analytical techniques are used in this paper to establish nonlinear instability. (C) 2008 Elsevier Inc. All rights reserved.
- Keywords
- nonlinear stability; spectral theory; Hele-Shaw flows; viscosity gradient driven instability; FLUID
- URI
- https://oasis.postech.ac.kr/handle/2014.oak/29391
- DOI
- 10.1016/j.jde.2008.07.012
- ISSN
- 0022-0396
- Article Type
- Article
- Citation
- JOURNAL OF DIFFERENTIAL EQUATIONS, vol. 245, no. 7, page. 1819 - 1837, 2008-10-01
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